Question

find the ratio in which p(4,m) divides the line segment joining the points a(2,3) and b (6,-3). find m

Answer 1

Hi there!

Given :

P (4, m) = (x, y)
A (2, 3) = (x1, y1)
B (6, -3) = (x2, y2)

Let the ratio in which P divide the line segment A and B be = k : 1

By Section formula:


Therefore,

x = kx2 + x1(1)/k + 1

4 = 6k + 2 /k + 1

4k + 4 = 6k + 2

2k = 2

k = 1

[ So, the ratio = 1 : 1 ]

Now,

y = k(y2) + 1(y1) / k + 1

m = -3 + 3 /1 + 1

m = 0/2 = 0

[ m = 0. ]

Hope it helps! :D

Cheers,
Ishaan Singh